What is Celtics' ideal starting lineup? Here's what the numbers say

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Your move, Ime Udoka.

New Celtics president of basketball operations Brad Stevens overhauled Boston's roster this offseason, adding several new pieces while letting Kemba Walker and Evan Fournier depart in free agency.

Now, it's up to the new Celtics coach to determine how those pieces fit best with the returning core -- beginning with the starting five. 

Jayson Tatum and Jaylen Brown are locks, while recently-extended veterans Marcus Smart and Robert Williams III should join them in the starting unit. But the fifth starter spot is very much up for grabs.

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Should Udoka go big and pair Williams with Al Horford in the frontcourt? Should he prioritize defense and insert newcomer Josh Richardson, or extra playmaking with point guard Dennis Schroder? Or does a young upstart like Aaron Nesmith or Romeo Langford deserve the opportunity?

Relying on data from the 2020-21 season, the Optimal Lineup tool allows us to see the average offensive and defensive ratings of every Celtics lineup combination imaginable.

See for yourself below: Simply click on the "X" to the right of a starter's name to remove them, and the arrow to the left of a reserve's name to insert them into the starting five.

(Check out the video above for an explainer of offensive and defensive ratings. Higher offensive ratings are better, as are lower defensive ratings.)

We did some tinkering with this tool, as well. Our conclusion? The Celtics' starting five on opening night should look like this:

PGMarcus Smart
SGJosh Richardson
SFJaylen Brown
PFJayson Tatum
CRobert Williams III

The C's boast a 113.7 offensive rating and a 112.1 defensive rating with this unit, per the Optimal Lineup tool. That's a higher offensive rating with Richardson than if Horford, Schroder or Nesmith was paired with the Smart/Brown/Tatum/Williams core.

While Boston could have a slightly better defensive rating with Schroder (111.1), Horford (111.2) or Nesmith (111.2) on the floor, Richardson has a reputation as a strong defender who can guard multiple positions.

If Richardson can rediscover his 3-point shot -- he hit 46.1% of his threes as a rookie in 2015-16 but just 33% in Philadelphia last season -- he could be a great floor-spacer for Tatum and Brown while helping the C's maintain their defensive edge on the other end.

Boston opens its regular season Wednesday against the Knicks in New York, so we'll find out very soon if Udoka agrees with our assessment.

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